In the first three chapters, we have looked at various
"transforms". These are the following.
- Continuous-time periodic functions to sequences. (Fourier
series).
- Continuous-time functions on (-∞,∞) to continuous-time
functions on (-∞,∞). (Fourier transform.)
- Discrete-time periodic sequences in
Sn to discrete-time periodic sequences in
Sn. (Discrete Fourier transform.)
- Discrete-time sequences to continuous-time periodic functions. (Z
transform).
In each case, make a table listing the transform, inverse
transform, definition of convolution, and the appropriate convolution
theorem. [32 points.]